01회전 행렬로 돌리는 3D 주사위

<main class="stage">
<div class="bp is-demo" id="bpRoot">
  <canvas class="bp__canvas" id="bpCanvas" width="480" height="300" role="img" aria-label="정육면체 여덟 꼭짓점에 회전 행렬을 곱하고 원근 투영으로 화면에 옮긴 뒤, 법선과 시선의 내적으로 카메라를 등진 면을 걸러 눈 달린 주사위가 허공에서 도는 장면을 그린다."></canvas>
  <output class="bp__status" aria-live="polite"><span id="bpLabel">윗면</span> <b id="bpNum"></b></output>
  <button type="button" class="bp__btn" id="bpBtn">굴리기</button>
  <p class="bp__caption">정육면체 여덟 꼭짓점에 회전 행렬을 곱하고 원근 투영으로 화면에 옮긴 뒤, 법선과 시선의 내적으로 카메라를 등진 면을 걸러 눈 달린 주사위가 허공에서 도는 장면을 그린다.</p>
</div>
</main>

@use "../../../../site/static/demo-tokens" as *;
@include stage($stage-ink);

.bp {
  position: relative;
  width: min(92vw, calc(160vh - 12.8vw));
  aspect-ratio: 480 / 300;
  margin: 0 auto;
  border-radius: $r-card;
  overflow: hidden;
  box-shadow: $shadow-raised;
  background: $stage-ink;
}

.bp__canvas {
  display: block;
  width: 100%;
  height: 100%;
}

.bp__status {
  position: absolute;
  left: $sp-3;
  top: $sp-3;
  display: flex;
  align-items: baseline;
  gap: $sp-2;
  margin: 0;
  padding: $sp-1 $sp-3;
  border-radius: $r-pill;
  background: rgba(255, 255, 255, .85);
  color: $subject-ink;
  font-weight: 500;
  font-size: 12px;
  line-height: 1.4;
}

.bp__status b {
  min-width: 1ch;
  font-weight: 700;
  font-variant-numeric: tabular-nums;
}

.bp__btn {
  position: absolute;
  right: $sp-3;
  top: $sp-3;
  min-height: $sp-8;
  padding: 0 $sp-4;
  border: 0;
  border-radius: $r-control;
  background: $subject-cream;
  color: $subject-ink;
  font-weight: 700;
  font-size: 13px;
  line-height: 1;
  cursor: pointer;
  box-shadow: $shadow-press;
  transition: transform $dur-instant $ease-out;
}

.bp__btn:hover { transform: translateY(-1px); }
.bp__btn:active { transform: translateY(1px); }

.bp__btn:focus-visible {
  outline: 2px solid rgba(255, 255, 255, .9);
  outline-offset: 2px;
}

.bp__canvas:focus-visible {
  outline: 2px solid rgba(255, 255, 255, .85);
  outline-offset: -6px;
}

.bp__caption {
  position: absolute;
  left: $sp-3;
  bottom: $sp-3;
  max-width: 80%;
  margin: 0;
  padding: $sp-1 $sp-3;
  border-radius: $r-pill;
  background: rgba(255, 255, 255, .85);
  color: $subject-ink;
  font-weight: 500;
  font-size: 12px;
  line-height: 1.4;
  pointer-events: none;
}

@media (max-width: 340px) {
  .bp__caption { font-size: 10px; padding: $sp-1 $sp-2; }
  .bp__status { font-size: 10px; padding: $sp-1 $sp-2; }
  .bp__btn { font-size: 11px; padding: 0 $sp-3; }
}

@media (prefers-reduced-motion: reduce) {
  .bp { cursor: default; }
  .bp__btn { transition: none; }
}

html, body {
  margin: 0;
  overflow: hidden;
}

.stage {
  box-sizing: border-box;
  min-height: 100vh;
  display: grid;
  place-items: center;
  margin: 0;
  background: #17141a;
  font-family: -apple-system, "Segoe UI", "Noto Sans KR", sans-serif;
  padding: clamp(8px, 4vw, 24px);
}

.bp {
  position: relative;
  width: min(92vw, 160vh - 12.8vw);
  aspect-ratio: 480/300;
  margin: 0 auto;
  border-radius: 16px;
  overflow: hidden;
  box-shadow: 0 14px 24px rgba(23, 20, 26, 0.32);
  background: #17141a;
}

.bp__canvas {
  display: block;
  width: 100%;
  height: 100%;
}

.bp__status {
  position: absolute;
  left: 12px;
  top: 12px;
  display: flex;
  align-items: baseline;
  gap: 8px;
  margin: 0;
  padding: 4px 12px;
  border-radius: 999px;
  background: rgba(255, 255, 255, 0.85);
  color: #17141a;
  font-weight: 500;
  font-size: 12px;
  line-height: 1.4;
}

.bp__status b {
  min-width: 1ch;
  font-weight: 700;
  font-variant-numeric: tabular-nums;
}

.bp__btn {
  position: absolute;
  right: 12px;
  top: 12px;
  min-height: 32px;
  padding: 0 16px;
  border: 0;
  border-radius: 12px;
  background: #fff7e6;
  color: #17141a;
  font-weight: 700;
  font-size: 13px;
  line-height: 1;
  cursor: pointer;
  box-shadow: 0 6px 12px rgba(23, 20, 26, 0.32);
  transition: transform 140ms ease-out;
}

.bp__btn:hover {
  transform: translateY(-1px);
}

.bp__btn:active {
  transform: translateY(1px);
}

.bp__btn:focus-visible {
  outline: 2px solid rgba(255, 255, 255, 0.9);
  outline-offset: 2px;
}

.bp__canvas:focus-visible {
  outline: 2px solid rgba(255, 255, 255, 0.85);
  outline-offset: -6px;
}

.bp__caption {
  position: absolute;
  left: 12px;
  bottom: 12px;
  max-width: 80%;
  margin: 0;
  padding: 4px 12px;
  border-radius: 999px;
  background: rgba(255, 255, 255, 0.85);
  color: #17141a;
  font-weight: 500;
  font-size: 12px;
  line-height: 1.4;
  pointer-events: none;
}

@media (max-width: 340px) {
  .bp__caption {
    font-size: 10px;
    padding: 4px 8px;
  }
  .bp__status {
    font-size: 10px;
    padding: 4px 8px;
  }
  .bp__btn {
    font-size: 11px;
    padding: 0 12px;
  }
}
@media (prefers-reduced-motion: reduce) {
  .bp {
    cursor: default;
  }
  .bp__btn {
    transition: none;
  }
}

(function () {
  var root = document.getElementById('bpRoot');
  var canvas = document.getElementById('bpCanvas');
  var ctx = canvas.getContext('2d');
  var wrap = canvas.parentElement;
  var labelEl = document.getElementById('bpLabel');
  var numEl = document.getElementById('bpNum');
  var btn = document.getElementById('bpBtn');

  var CALC_W = 320, CALC_H = 200;
  var FIXED_DT = 16;
  var dtS = FIXED_DT / 1000;
  var DICE_RESTITUTION = 0.45;
  var SPIN_DAMPING = 0.985;
  var DICE_SEED = 7;
  var GRAVITY = 22;
  var DIE_HALF = 1;
  var INERTIA = 2 * DIE_HALF * DIE_HALF / 3;
  var FLOOR_FRICTION = 0.35;
  var SETTLE_AFTER_MS = 2000;
  var SETTLE_RATE = 0.16;
  var HOLD_MS = 700;
  var CAM_Y = 5.6, CAM_BACK = 12, FOCAL = 275, VIEW_CX = 160, VIEW_CY = 82;
  var TABLE_X = 4.4, TABLE_Z0 = -3, TABLE_Z1 = 5;
  var PH_FLY = 0, PH_SETTLE = 1, PH_HOLD = 2, PH_IDLE = 3;
  var STRIP_BASE = 128;
  var BAR_MAX = 18;
  var reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
  var demo = !reduce;
  if (!demo) root.classList.remove('is-demo');
  function stopDemo() { demo = false; root.classList.remove('is-demo'); }

  function seedRand(seed) {
    var s = seed >>> 0;
    return function () { s = (s * 1664525 + 1013904223) >>> 0; return s / 4294967296; };
  }
  function clamp(v, lo, hi) { return v < lo ? lo : (v > hi ? hi : v); }
  function lerp(a, b, t) { return a + (b - a) * t; }
  function dot(a, b) { return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; }
  function cross(a, b) { return [a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]]; }
  function unit(a) { var l = Math.hypot(a[0], a[1], a[2]) || 1; return [a[0] / l, a[1] / l, a[2] / l]; }
  function matMul(a, b) {
    var o = [0, 0, 0, 0, 0, 0, 0, 0, 0];
    for (var i = 0; i < 3; i += 1) {
      for (var j = 0; j < 3; j += 1) o[i * 3 + j] = a[i * 3] * b[j] + a[i * 3 + 1] * b[3 + j] + a[i * 3 + 2] * b[6 + j];
    }
    return o;
  }
  function matVec(m, v) {
    return [m[0] * v[0] + m[1] * v[1] + m[2] * v[2], m[3] * v[0] + m[4] * v[1] + m[5] * v[2], m[6] * v[0] + m[7] * v[1] + m[8] * v[2]];
  }
  // 로드리게스 공식: 단위 축 ax 둘레로 ang 만큼 도는 회전 행렬
  function rotAxis(ax, ang) {
    var c = Math.cos(ang), s = Math.sin(ang), t = 1 - c, x = ax[0], y = ax[1], z = ax[2];
    return [t * x * x + c, t * x * y - s * z, t * x * z + s * y,
      t * x * y + s * z, t * y * y + c, t * y * z - s * x,
      t * x * z - s * y, t * y * z + s * x, t * z * z + c];
  }
  function orthonormalize(m) {
    var a = unit([m[0], m[1], m[2]]);
    var k = a[0] * m[3] + a[1] * m[4] + a[2] * m[5];
    var b = unit([m[3] - a[0] * k, m[4] - a[1] * k, m[5] - a[2] * k]);
    var c = cross(a, b);
    return [a[0], a[1], a[2], b[0], b[1], b[2], c[0], c[1], c[2]];
  }
  function randAxis(rnd) { return unit([rnd() * 2 - 1, rnd() * 2 - 1, rnd() * 2 - 1]); }

  var PITCH = Math.atan2(CAM_Y, CAM_BACK);
  var CAM_S = Math.sin(PITCH), CAM_C = Math.cos(PITCH);
  function camPoint(p) {
    var qy = p[1] - CAM_Y, qz = p[2] + CAM_BACK;
    return [p[0], qy * CAM_C + qz * CAM_S, -qy * CAM_S + qz * CAM_C];
  }
  function camDir(v) { return [v[0], v[1] * CAM_C + v[2] * CAM_S, -v[1] * CAM_S + v[2] * CAM_C]; }
  function scr(p) {
    var c = camPoint(p);
    var k = FOCAL / c[2];
    return [VIEW_CX + c[0] * k, VIEW_CY - c[1] * k, k];
  }

  var FACE_N = [[0, 1, 0], [0, -1, 0], [1, 0, 0], [-1, 0, 0], [0, 0, 1], [0, 0, -1]];
  var FACE_U = [[1, 0, 0], [1, 0, 0], [0, 1, 0], [0, 1, 0], [1, 0, 0], [1, 0, 0]];
  var FACE_V = [[0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 1, 0], [0, 1, 0]];
  var FACE_VAL = [1, 6, 2, 5, 3, 4];
  var PIPS = [[], [[0, 0]], [[-1, -1], [1, 1]], [[-1, -1], [0, 0], [1, 1]],
    [[-1, -1], [1, -1], [-1, 1], [1, 1]], [[-1, -1], [1, -1], [0, 0], [-1, 1], [1, 1]],
    [[-1, -1], [-1, 0], [-1, 1], [1, -1], [1, 0], [1, 1]]];
  var DICE_PAL = [
    { face: [255, 214, 226], edge: [240, 160, 186], pip: '#4b3a63' },
    { face: [200, 232, 255], edge: [140, 190, 236], pip: '#3b4a6b' },
    { face: [224, 212, 255], edge: [170, 150, 232], pip: '#46386b' },
    { face: [255, 240, 196], edge: [236, 206, 120], pip: '#5a4636' }
  ];
  var LIGHT = unit([-0.45, 0.85, -0.35]);

  function newDie(pal, xmin, xmax, zmin, zmax) {
    return { p: [0, DIE_HALF, 0], v: [0, 0, 0], R: [1, 0, 0, 0, 1, 0, 0, 0, 1], w: [0, 0, 0], pal: pal, phase: PH_IDLE, t: 0, hold: 0,
      bounces: 0, result: 0, top: 1, hit: 0, hx: 0, hz: 0, xmin: xmin, xmax: xmax, zmin: zmin, zmax: zmax };
  }
  function topIndex(d) {
    var best = 0, by = -9;
    for (var f = 0; f < 6; f += 1) {
      var ny = d.R[3] * FACE_N[f][0] + d.R[4] * FACE_N[f][1] + d.R[5] * FACE_N[f][2];
      if (ny > by) { by = ny; best = f; }
    }
    return best;
  }
  // 던지기: 시작 위치·속도·회전을 시드 수열에서 순서대로 뽑는다 (뽑는 순서가 곧 재현 규칙)
  function launch(d, rnd, x, z, vx, vz, vy0, spin) {
    d.p = [x, 2.4, z];
    d.v = [vx + (rnd() - 0.5) * 1.6, vy0 + rnd() * 2.2, vz + (rnd() - 0.5) * 1.6];
    var ax = randAxis(rnd);
    var s = spin * (0.6 + rnd() * 0.8);
    d.w = [ax[0] * s, ax[1] * s, ax[2] * s];
    d.R = rotAxis(randAxis(rnd), rnd() * 6.283);
    d.phase = PH_FLY; d.t = 0; d.hold = 0; d.bounces = 0; d.result = 0; d.hit = 0;
  }
  function spinStep(d, dt) {
    var wl = Math.hypot(d.w[0], d.w[1], d.w[2]);
    if (wl > 1e-5) d.R = matMul(rotAxis([d.w[0] / wl, d.w[1] / wl, d.w[2] / wl], wl * dt), d.R);
  }
  function floorStep(d) {
    var mi = 0, my = 99;
    var rx = 0, ry = 0, rz = 0;
    for (var i = 0; i < 8; i += 1) {
      var lx = (i & 1) ? DIE_HALF : -DIE_HALF, ly = (i & 2) ? DIE_HALF : -DIE_HALF, lz = (i & 4) ? DIE_HALF : -DIE_HALF;
      var wy = d.R[3] * lx + d.R[4] * ly + d.R[5] * lz;
      if (wy < my) { my = wy; mi = i; rx = d.R[0] * lx + d.R[1] * ly + d.R[2] * lz; ry = wy; rz = d.R[6] * lx + d.R[7] * ly + d.R[8] * lz; }
    }
    var low = d.p[1] + my;
    if (low >= 0) return;
    d.p[1] -= low;
    var cvx = d.v[0] + d.w[1] * rz - d.w[2] * ry;
    var cvy = d.v[1] + d.w[2] * rx - d.w[0] * rz;
    var cvz = d.v[2] + d.w[0] * ry - d.w[1] * rx;
    if (cvy >= 0) return;
    var j = -(1 + DICE_RESTITUTION) * cvy / (1 + (rx * rx + rz * rz) / INERTIA);
    d.v[1] += j;
    d.w[0] += -rz * j / INERTIA; d.w[2] += rx * j / INERTIA;
    var tl = Math.hypot(cvx, cvz);
    if (tl > 1e-4) {
      var jt = Math.min(FLOOR_FRICTION * j, tl * 0.5);
      var tx = -cvx / tl * jt, tz = -cvz / tl * jt;
      d.v[0] += tx; d.v[2] += tz;
      d.w[0] += ry * tz / INERTIA; d.w[1] += (rz * tx - rx * tz) / INERTIA; d.w[2] += -ry * tx / INERTIA;
    }
    if (cvy < -1.2) { d.bounces += 1; d.hit = -cvy; d.hx = d.p[0] + rx; d.hz = d.p[2] + rz; }
  }
  function wallStep(d) {
    if (d.p[0] < d.xmin) { d.p[0] = d.xmin; d.v[0] = Math.abs(d.v[0]) * 0.5; }
    if (d.p[0] > d.xmax) { d.p[0] = d.xmax; d.v[0] = -Math.abs(d.v[0]) * 0.5; }
    if (d.p[2] < d.zmin) { d.p[2] = d.zmin; d.v[2] = Math.abs(d.v[2]) * 0.5; }
    if (d.p[2] > d.zmax) { d.p[2] = d.zmax; d.v[2] = -Math.abs(d.v[2]) * 0.5; }
  }
  // 멈추기: 법선 y 가 가장 큰 면을 윗면으로 읽고, 그 면이 정확히 위를 보도록 남은 각도의 SETTLE_RATE 만큼씩 돌린다
  function settleStep(d) {
    var k = topIndex(d);
    d.top = FACE_VAL[k];
    var nw = matVec(d.R, FACE_N[k]);
    var ang = Math.acos(clamp(nw[1], -1, 1));
    if (ang > 1e-4) {
      var ax = unit(cross(nw, [0, 1, 0]));
      d.R = orthonormalize(matMul(rotAxis(ax, ang * SETTLE_RATE), d.R));
    }
    d.R = orthonormalize(matMul(rotAxis([0, 1, 0], d.w[1] * dtS), d.R));
    d.w[1] *= 0.88;
    d.v[0] *= 0.86; d.v[2] *= 0.86; d.v[1] = 0;
    d.p[0] += d.v[0] * dtS; d.p[2] += d.v[2] * dtS;
    d.p[1] += (DIE_HALF - d.p[1]) * 0.22;
    wallStep(d);
    if (ang < 0.004 && Math.abs(d.p[1] - DIE_HALF) < 0.01) {
      d.p[1] = DIE_HALF;
      var q = topIndex(d);
      d.R = orthonormalize(matMul(rotAxis(unit(cross(matVec(d.R, FACE_N[q]), [0, 1, 0])), Math.acos(clamp(matVec(d.R, FACE_N[q])[1], -1, 1))), d.R));
      d.phase = PH_HOLD; d.hold = 0; d.result = FACE_VAL[q]; d.top = d.result;
    }
  }
  function stepDie(d) {
    if (d.phase === PH_FLY) {
      d.t += FIXED_DT;
      d.v[1] -= GRAVITY * dtS;
      d.p[0] += d.v[0] * dtS; d.p[1] += d.v[1] * dtS; d.p[2] += d.v[2] * dtS;
      spinStep(d, dtS);
      d.w[0] *= SPIN_DAMPING; d.w[1] *= SPIN_DAMPING; d.w[2] *= SPIN_DAMPING;
      wallStep(d);
      floorStep(d);
      var sp = Math.hypot(d.v[0], d.v[1], d.v[2]);
      if (d.t > SETTLE_AFTER_MS || (d.bounces >= 3 && sp < 1.6)) d.phase = PH_SETTLE;
    } else if (d.phase === PH_SETTLE) {
      d.t += FIXED_DT;
      settleStep(d);
    } else if (d.phase === PH_HOLD) {
      d.hold += FIXED_DT;
    }
  }
  function runUntilHold(d) {
    for (var i = 0; i < 1200 && d.phase !== PH_HOLD; i += 1) stepDie(d);
    return d.result;
  }

  // ── 그리기 ──
  function rgb(c, k) {
    return 'rgb(' + Math.min(255, Math.round(c[0] * k)) + ',' + Math.min(255, Math.round(c[1] * k)) + ',' + Math.min(255, Math.round(c[2] * k)) + ')';
  }
  function quad(c, u, v, s) {
    var o = [];
    var sg = [[-1, -1], [1, -1], [1, 1], [-1, 1]];
    for (var i = 0; i < 4; i += 1) {
      o.push(scr([c[0] + (u[0] * sg[i][0] + v[0] * sg[i][1]) * s * DIE_HALF, c[1] + (u[1] * sg[i][0] + v[1] * sg[i][1]) * s * DIE_HALF, c[2] + (u[2] * sg[i][0] + v[2] * sg[i][1]) * s * DIE_HALF]));
    }
    return o;
  }
  function fillPoly(pts, color, edge) {
    ctx.beginPath();
    ctx.moveTo(pts[0][0], pts[0][1]);
    for (var i = 1; i < pts.length; i += 1) ctx.lineTo(pts[i][0], pts[i][1]);
    ctx.closePath();
    ctx.fillStyle = color;
    ctx.fill();
    if (edge > 0) { ctx.strokeStyle = color; ctx.lineWidth = edge; ctx.stroke(); }
  }
  function drawDie(d, hi, alpha) {
    var pal = DICE_PAL[d.pal % DICE_PAL.length];
    ctx.globalAlpha = alpha;
    ctx.lineJoin = 'round';
    for (var f = 0; f < 6; f += 1) {
      var nw = matVec(d.R, FACE_N[f]);
      var cw = [d.p[0] + nw[0] * DIE_HALF, d.p[1] + nw[1] * DIE_HALF, d.p[2] + nw[2] * DIE_HALF];
      var cc = camPoint(cw), nc = camDir(nw);
      if (nc[0] * cc[0] + nc[1] * cc[1] + nc[2] * cc[2] >= 0) continue;
      var uw = matVec(d.R, FACE_U[f]), vw = matVec(d.R, FACE_V[f]);
      var lit = 0.66 + 0.34 * Math.max(0, dot(nw, LIGHT));
      var k0 = scr(cw)[2];
      fillPoly(quad(cw, uw, vw, 1), rgb(pal.edge, lit), k0 * 0.1);
      fillPoly(quad(cw, uw, vw, 0.84), rgb(pal.face, lit), k0 * 0.16);
      if (f === hi) fillPoly(quad(cw, uw, vw, 0.84), 'rgba(255,255,255,0.4)', 0);
      var val = FACE_VAL[f];
      for (var pi = 0; pi < PIPS[val].length; pi += 1) {
        var a = PIPS[val][pi][0] * 0.5 * DIE_HALF, b = PIPS[val][pi][1] * 0.5 * DIE_HALF;
        var ring = [];
        for (var j = 0; j < 10; j += 1) {
          var an = j * 0.62832, rr = 0.17 * DIE_HALF;
          var ca = Math.cos(an) * rr, sa = Math.sin(an) * rr;
          ring.push(scr([cw[0] + uw[0] * (a + ca) + vw[0] * (b + sa) + nw[0] * 0.004, cw[1] + uw[1] * (a + ca) + vw[1] * (b + sa) + nw[1] * 0.004, cw[2] + uw[2] * (a + ca) + vw[2] * (b + sa) + nw[2] * 0.004]));
        }
        fillPoly(ring, pal.pip, 0);
      }
    }
    ctx.globalAlpha = 1;
  }
  function drawShadow(d, alpha) {
    var s = scr([d.p[0], 0, d.p[2]]);
    var h = Math.max(0, d.p[1] - DIE_HALF);
    var r = DIE_HALF * s[2] * (1.2 + h * 0.18);
    ctx.save();
    ctx.translate(s[0], s[1]);
    ctx.scale(1, 0.42);
    ctx.beginPath();
    ctx.arc(0, 0, r, 0, 6.2832);
    ctx.fillStyle = 'rgba(30,60,60,' + (0.34 * alpha / (1 + h * 0.7)) + ')';
    ctx.fill();
    ctx.restore();
  }
  var FELT_DOTS = [];
  (function () {
    var fr = seedRand(99);
    for (var i = 0; i < 70; i += 1) FELT_DOTS.push([(fr() * 2 - 1) * TABLE_X, TABLE_Z0 + fr() * (TABLE_Z1 - TABLE_Z0), 0.04 + fr() * 0.08]);
  })();
  function tablePts(m) {
    return [scr([-TABLE_X - m, 0, TABLE_Z0 - m]), scr([TABLE_X + m, 0, TABLE_Z0 - m]), scr([TABLE_X + m, 0, TABLE_Z1 + m]), scr([-TABLE_X - m, 0, TABLE_Z1 + m])];
  }
  function drawStage(lightX, lightK) {
    ctx.setTransform(1, 0, 0, 1, 0, 0);
    ctx.fillStyle = '#1d1a2b';
    ctx.fillRect(0, 0, cw, ch);
    ctx.setTransform(sc, 0, 0, sc, 0, 0);
    var bg = ctx.createRadialGradient(160, 80, 10, 160, 80, 210);
    bg.addColorStop(0, '#3f3764');
    bg.addColorStop(1, '#221d36');
    ctx.fillStyle = bg;
    ctx.fillRect(0, 0, CALC_W, CALC_H);
    fillPoly(tablePts(0.5), '#8e80c8', 0);
    var tp = tablePts(0);
    var g = ctx.createLinearGradient(0, tp[0][1], 0, tp[2][1]);
    g.addColorStop(0, '#9fdcc3');
    g.addColorStop(1, '#78c8aa');
    fillPoly(tp, g, 0);
    for (var i = 0; i < FELT_DOTS.length; i += 1) {
      var s = scr([FELT_DOTS[i][0], 0, FELT_DOTS[i][1]]);
      ctx.beginPath();
      ctx.arc(s[0], s[1], FELT_DOTS[i][2] * s[2], 0, 6.2832);
      ctx.fillStyle = 'rgba(40,110,90,0.12)';
      ctx.fill();
    }
    var lp = scr([lightX, 0, 1]);
    var lg = ctx.createRadialGradient(lp[0], lp[1], 4, lp[0], lp[1], 120);
    lg.addColorStop(0, 'rgba(255,255,255,' + (0.3 * lightK) + ')');
    lg.addColorStop(1, 'rgba(255,255,255,0)');
    ctx.save();
    ctx.beginPath();
    ctx.moveTo(tp[0][0], tp[0][1]); ctx.lineTo(tp[1][0], tp[1][1]); ctx.lineTo(tp[2][0], tp[2][1]); ctx.lineTo(tp[3][0], tp[3][1]);
    ctx.closePath();
    ctx.clip();
    ctx.fillStyle = lg;
    ctx.fillRect(0, 0, CALC_W, CALC_H);
    ctx.restore();
  }
  function drawChip(x, y, s, value, pal, mark) {
    var p = DICE_PAL[pal % DICE_PAL.length];
    ctx.fillStyle = value > 0 ? rgb(p.face, 1) : 'rgba(255,255,255,0.18)';
    ctx.strokeStyle = mark ? '#7fe3bd' : rgb(p.edge, 1);
    ctx.lineWidth = mark ? 1.8 : 1;
    ctx.fillRect(x, y, s, s);
    ctx.strokeRect(x, y, s, s);
    for (var i = 0; i < PIPS[value].length; i += 1) {
      ctx.beginPath();
      ctx.arc(x + s / 2 + PIPS[value][i][0] * s * 0.26, y + s / 2 + PIPS[value][i][1] * s * 0.26, s * 0.1, 0, 6.2832);
      ctx.fillStyle = p.pip;
      ctx.fill();
    }
  }

  // ── 상태 줄 (aria-live) ──
  var stLabel = '', stNum = '', stAt = -9999;
  function setStatus(label, num, force) {
    if (label === stLabel && num === stNum) return;
    if (!force && label === stLabel && elapsed - stAt < 450) return;
    stLabel = label; stNum = num; stAt = elapsed;
    labelEl.textContent = label;
    numEl.textContent = num;
  }
  var cw = 480, ch = 300, sc = 1.5, elapsed = 0;
  var rafId = 0;
  var cleaners = [];

  // 기법: 여덟 꼭짓점에 회전 행렬 R 을 곱하고 원근 투영(sx = cx + f * x / z)으로 화면에 옮긴다.
  // 보이는 면은 법선과 시선의 내적 부호로 고르고, 윗면은 법선 y 가 가장 큰 면이다.
  var T_TOP = '윗면';
  var SPIN_BASE = 7;
  var DEMO_KICK_MS = 1500;
  var die = newDie(0, -9, 9, -9, 9);
  var rng = seedRand(DICE_SEED);
  var kickAt = 0;
  var axisCols = ['#ff9ebb', '#4cd4a6', '#6ec8ff'];

  function sceneInit() { die.phase = PH_FLY; die.p = [0, 1.7, 0.4]; die.R = rotAxis(unit([0.4, 1, 0.3]), 0.7); }
  function sceneRoll(manual) {
    var ax = randAxis(rng);
    var s = SPIN_BASE + rng() * 5;
    die.w = [ax[0] * s, ax[1] * s, ax[2] * s];
    kickAt = elapsed;
    if (reduce) die.R = matMul(rotAxis(ax, 1.2 + rng() * 4.4), die.R);
  }
  function sceneDone() { return true; }
  function sceneFinish() { die.top = FACE_VAL[topIndex(die)]; setStatus(T_TOP, String(die.top), true); }
  function stepWorld() {
    var t = elapsed / 1000;
    die.p = [Math.sin(t * 0.9) * 2.8, 1.7 + Math.sin(t * 1.7) * 0.3, Math.cos(t * 0.9) * 1.3 + 0.4];
    spinStep(die, dtS);
    var damp = demo ? 0.996 : 0.985;
    die.w = [die.w[0] * damp, die.w[1] * damp, die.w[2] * damp];
    if (demo && elapsed - kickAt > DEMO_KICK_MS) sceneRoll(false);
    die.top = FACE_VAL[topIndex(die)];
    setStatus(T_TOP, String(die.top), false);
  }
  function drawWorld() {
    drawStage(die.p[0], 0.9);
    // 바닥 안내선: 주사위 중심에서 바닥 그림자까지
    var a = scr(die.p), b = scr([die.p[0], 0, die.p[2]]);
    ctx.setLineDash([2, 3]);
    ctx.strokeStyle = 'rgba(255,255,255,0.5)';
    ctx.lineWidth = 1;
    ctx.beginPath(); ctx.moveTo(a[0], a[1]); ctx.lineTo(b[0], b[1]); ctx.stroke();
    ctx.setLineDash([]);
    drawShadow(die, 1);
    drawDie(die, topIndex(die), 1);
    // 회전 행렬의 세 열 = 주사위가 가진 세 축을 투영한 선
    for (var c = 0; c < 3; c += 1) {
      var e = [die.R[c], die.R[3 + c], die.R[6 + c]];
      var q = scr([die.p[0] + e[0] * 2.1, die.p[1] + e[1] * 2.1, die.p[2] + e[2] * 2.1]);
      ctx.beginPath(); ctx.moveTo(a[0], a[1]); ctx.lineTo(q[0], q[1]);
      ctx.strokeStyle = axisCols[c]; ctx.lineWidth = 2; ctx.lineCap = 'round'; ctx.stroke();
      ctx.beginPath(); ctx.arc(q[0], q[1], 2.6, 0, 6.2832); ctx.fillStyle = axisCols[c]; ctx.fill();
    }
    // 여덟 꼭짓점 점 (가까울수록 크게)
    for (var i = 0; i < 8; i += 1) {
      var lx = (i & 1) ? 1 : -1, ly = (i & 2) ? 1 : -1, lz = (i & 4) ? 1 : -1;
      var v = matVec(die.R, [lx, ly, lz]);
      var s = scr([die.p[0] + v[0], die.p[1] + v[1], die.p[2] + v[2]]);
      ctx.beginPath(); ctx.arc(s[0], s[1], s[2] * 0.045, 0, 6.2832); ctx.fillStyle = 'rgba(255,255,255,0.85)'; ctx.fill();
    }
  }

  function fit() {
    var r = wrap.getBoundingClientRect();
    cw = Math.max(1, Math.round(r.width));
    ch = Math.max(1, Math.round(r.height));
    canvas.width = cw; canvas.height = ch;
    sc = cw / CALC_W;
    drawWorld();
  }
  var lastTs = -1;
  var acc = 0;
  function tick(ts) {
    if (lastTs < 0) lastTs = ts;
    var frameDt = Math.min(ts - lastTs, 48);
    lastTs = ts;
    acc += frameDt;
    while (acc >= FIXED_DT) { elapsed += FIXED_DT; stepWorld(); acc -= FIXED_DT; }
    drawWorld();
    rafId = requestAnimationFrame(tick);
  }
  // 모션 줄이기: 애니메이션 없이 결과가 나올 때까지 같은 계산을 한 번에 돌려 최종 장면만 그린다
  function runToDone() {
    var i = 0;
    do { elapsed += FIXED_DT; stepWorld(); i += 1; } while (i < 1500 && !sceneDone());
    sceneFinish();
    drawWorld();
  }
  function onRollClick() {
    stopDemo();
    sceneRoll(true);
    if (reduce) runToDone();
  }
  sceneInit();
  sceneRoll(false);
  if (reduce) {
    runToDone();
  } else {
    for (var w0 = 0; w0 < 8; w0 += 1) { elapsed += FIXED_DT; stepWorld(); }
  }
  btn.addEventListener('click', onRollClick);
  cleaners.push(function () { btn.removeEventListener('click', onRollClick); });
  fit();
  window.addEventListener('resize', fit);
  cleaners.push(function () { window.removeEventListener('resize', fit); });
  if (!reduce) rafId = requestAnimationFrame(tick);

  function destroy() {
    cancelAnimationFrame(rafId);
    for (var i = 0; i < cleaners.length; i += 1) cleaners[i]();
  }

})();

import { useEffect, useRef } from "react";
import styles from "./SpinDiceSceneCubeRotationProjection.module.scss";

export default function SpinDiceSceneCubeRotationProjection() {
  const rootRef = useRef<HTMLDivElement | null>(null);
  const canvasRef = useRef<HTMLCanvasElement | null>(null);
  const labelRef = useRef<HTMLSpanElement | null>(null);
  const numRef = useRef<HTMLElement | null>(null);
  const btnRef = useRef<HTMLButtonElement | null>(null);

  useEffect(() => {
    const rootEl = rootRef.current, canvasEl = canvasRef.current, l0 = labelRef.current, n0 = numRef.current, b0 = btnRef.current;
    if (!rootEl || !canvasEl || !l0 || !n0 || !b0) return;
    const root: HTMLDivElement = rootEl;
    const canvas: HTMLCanvasElement = canvasEl;
    const ctx0 = canvas.getContext("2d");
    if (!ctx0) return;
    const ctx: CanvasRenderingContext2D = ctx0;
    const wrap: HTMLElement = canvas.parentElement ?? root;
    const labelEl: HTMLElement = l0;
    const numEl: HTMLElement = n0;
    const btn: HTMLButtonElement = b0;

    type Vec = number[];
    type Mat = number[];
    type RandFn = () => number;
    type Fn = () => void;
    type Paint = string | CanvasGradient;
    type Pal = { face: number[]; edge: number[]; pip: string };
    type Die = { p: Vec; v: Vec; R: Mat; w: Vec; pal: number; phase: number; t: number; hold: number; bounces: number; result: number; top: number; hit: number; hx: number; hz: number; xmin: number; xmax: number; zmin: number; zmax: number };

    var CALC_W = 320, CALC_H = 200;
    var FIXED_DT = 16;
    var dtS = FIXED_DT / 1000;
    var DICE_RESTITUTION = 0.45;
    var SPIN_DAMPING = 0.985;
    var DICE_SEED = 7;
    var GRAVITY = 22;
    var DIE_HALF = 1;
    var INERTIA = 2 * DIE_HALF * DIE_HALF / 3;
    var FLOOR_FRICTION = 0.35;
    var SETTLE_AFTER_MS = 2000;
    var SETTLE_RATE = 0.16;
    var HOLD_MS = 700;
    var CAM_Y = 5.6, CAM_BACK = 12, FOCAL = 275, VIEW_CX = 160, VIEW_CY = 82;
    var TABLE_X = 4.4, TABLE_Z0 = -3, TABLE_Z1 = 5;
    var PH_FLY = 0, PH_SETTLE = 1, PH_HOLD = 2, PH_IDLE = 3;
    var STRIP_BASE = 128;
    var BAR_MAX = 18;
    var reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
    var demo = !reduce;
    if (!demo) root.classList.remove('is-demo');
    function stopDemo(): void { demo = false; root.classList.remove('is-demo'); }

    function seedRand(seed: number): RandFn {
      var s = seed >>> 0;
      return function (): number { s = (s * 1664525 + 1013904223) >>> 0; return s / 4294967296; };
    }
    function clamp(v: number, lo: number, hi: number): number { return v < lo ? lo : (v > hi ? hi : v); }
    function lerp(a: number, b: number, t: number): number { return a + (b - a) * t; }
    function dot(a: Vec, b: Vec): number { return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; }
    function cross(a: Vec, b: Vec): Vec { return [a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]]; }
    function unit(a: Vec): Vec { var l = Math.hypot(a[0], a[1], a[2]) || 1; return [a[0] / l, a[1] / l, a[2] / l]; }
    function matMul(a: Mat, b: Mat): Mat {
      var o: Mat = [0, 0, 0, 0, 0, 0, 0, 0, 0];
      for (var i = 0; i < 3; i += 1) {
        for (var j = 0; j < 3; j += 1) o[i * 3 + j] = a[i * 3] * b[j] + a[i * 3 + 1] * b[3 + j] + a[i * 3 + 2] * b[6 + j];
      }
      return o;
    }
    function matVec(m: Mat, v: Vec): Vec {
      return [m[0] * v[0] + m[1] * v[1] + m[2] * v[2], m[3] * v[0] + m[4] * v[1] + m[5] * v[2], m[6] * v[0] + m[7] * v[1] + m[8] * v[2]];
    }
    // 로드리게스 공식: 단위 축 ax 둘레로 ang 만큼 도는 회전 행렬
    function rotAxis(ax: Vec, ang: number): Mat {
      var c = Math.cos(ang), s = Math.sin(ang), t = 1 - c, x = ax[0], y = ax[1], z = ax[2];
      return [t * x * x + c, t * x * y - s * z, t * x * z + s * y,
        t * x * y + s * z, t * y * y + c, t * y * z - s * x,
        t * x * z - s * y, t * y * z + s * x, t * z * z + c];
    }
    function orthonormalize(m: Mat): Mat {
      var a = unit([m[0], m[1], m[2]]);
      var k = a[0] * m[3] + a[1] * m[4] + a[2] * m[5];
      var b = unit([m[3] - a[0] * k, m[4] - a[1] * k, m[5] - a[2] * k]);
      var c = cross(a, b);
      return [a[0], a[1], a[2], b[0], b[1], b[2], c[0], c[1], c[2]];
    }
    function randAxis(rnd: RandFn): Vec { return unit([rnd() * 2 - 1, rnd() * 2 - 1, rnd() * 2 - 1]); }

    var PITCH = Math.atan2(CAM_Y, CAM_BACK);
    var CAM_S = Math.sin(PITCH), CAM_C = Math.cos(PITCH);
    function camPoint(p: Vec): Vec {
      var qy = p[1] - CAM_Y, qz = p[2] + CAM_BACK;
      return [p[0], qy * CAM_C + qz * CAM_S, -qy * CAM_S + qz * CAM_C];
    }
    function camDir(v: Vec): Vec { return [v[0], v[1] * CAM_C + v[2] * CAM_S, -v[1] * CAM_S + v[2] * CAM_C]; }
    function scr(p: Vec): Vec {
      var c = camPoint(p);
      var k = FOCAL / c[2];
      return [VIEW_CX + c[0] * k, VIEW_CY - c[1] * k, k];
    }

    var FACE_N: Vec[] = [[0, 1, 0], [0, -1, 0], [1, 0, 0], [-1, 0, 0], [0, 0, 1], [0, 0, -1]];
    var FACE_U: Vec[] = [[1, 0, 0], [1, 0, 0], [0, 1, 0], [0, 1, 0], [1, 0, 0], [1, 0, 0]];
    var FACE_V: Vec[] = [[0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 1, 0], [0, 1, 0]];
    var FACE_VAL: number[] = [1, 6, 2, 5, 3, 4];
    var PIPS: number[][][] = [[], [[0, 0]], [[-1, -1], [1, 1]], [[-1, -1], [0, 0], [1, 1]],
      [[-1, -1], [1, -1], [-1, 1], [1, 1]], [[-1, -1], [1, -1], [0, 0], [-1, 1], [1, 1]],
      [[-1, -1], [-1, 0], [-1, 1], [1, -1], [1, 0], [1, 1]]];
    var DICE_PAL: Pal[] = [
      { face: [255, 214, 226], edge: [240, 160, 186], pip: '#4b3a63' },
      { face: [200, 232, 255], edge: [140, 190, 236], pip: '#3b4a6b' },
      { face: [224, 212, 255], edge: [170, 150, 232], pip: '#46386b' },
      { face: [255, 240, 196], edge: [236, 206, 120], pip: '#5a4636' }
    ];
    var LIGHT: Vec = unit([-0.45, 0.85, -0.35]);

    function newDie(pal: number, xmin: number, xmax: number, zmin: number, zmax: number): Die {
      return { p: [0, DIE_HALF, 0], v: [0, 0, 0], R: [1, 0, 0, 0, 1, 0, 0, 0, 1], w: [0, 0, 0], pal: pal, phase: PH_IDLE, t: 0, hold: 0,
        bounces: 0, result: 0, top: 1, hit: 0, hx: 0, hz: 0, xmin: xmin, xmax: xmax, zmin: zmin, zmax: zmax };
    }
    function topIndex(d: Die): number {
      var best = 0, by = -9;
      for (var f = 0; f < 6; f += 1) {
        var ny = d.R[3] * FACE_N[f][0] + d.R[4] * FACE_N[f][1] + d.R[5] * FACE_N[f][2];
        if (ny > by) { by = ny; best = f; }
      }
      return best;
    }
    // 던지기: 시작 위치·속도·회전을 시드 수열에서 순서대로 뽑는다 (뽑는 순서가 곧 재현 규칙)
    function launch(d: Die, rnd: RandFn, x: number, z: number, vx: number, vz: number, vy0: number, spin: number): void {
      d.p = [x, 2.4, z];
      d.v = [vx + (rnd() - 0.5) * 1.6, vy0 + rnd() * 2.2, vz + (rnd() - 0.5) * 1.6];
      var ax = randAxis(rnd);
      var s = spin * (0.6 + rnd() * 0.8);
      d.w = [ax[0] * s, ax[1] * s, ax[2] * s];
      d.R = rotAxis(randAxis(rnd), rnd() * 6.283);
      d.phase = PH_FLY; d.t = 0; d.hold = 0; d.bounces = 0; d.result = 0; d.hit = 0;
    }
    function spinStep(d: Die, dt: number): void {
      var wl = Math.hypot(d.w[0], d.w[1], d.w[2]);
      if (wl > 1e-5) d.R = matMul(rotAxis([d.w[0] / wl, d.w[1] / wl, d.w[2] / wl], wl * dt), d.R);
    }
    function floorStep(d: Die): void {
      var mi = 0, my = 99;
      var rx = 0, ry = 0, rz = 0;
      for (var i = 0; i < 8; i += 1) {
        var lx = (i & 1) ? DIE_HALF : -DIE_HALF, ly = (i & 2) ? DIE_HALF : -DIE_HALF, lz = (i & 4) ? DIE_HALF : -DIE_HALF;
        var wy = d.R[3] * lx + d.R[4] * ly + d.R[5] * lz;
        if (wy < my) { my = wy; mi = i; rx = d.R[0] * lx + d.R[1] * ly + d.R[2] * lz; ry = wy; rz = d.R[6] * lx + d.R[7] * ly + d.R[8] * lz; }
      }
      var low = d.p[1] + my;
      if (low >= 0) return;
      d.p[1] -= low;
      var cvx = d.v[0] + d.w[1] * rz - d.w[2] * ry;
      var cvy = d.v[1] + d.w[2] * rx - d.w[0] * rz;
      var cvz = d.v[2] + d.w[0] * ry - d.w[1] * rx;
      if (cvy >= 0) return;
      var j = -(1 + DICE_RESTITUTION) * cvy / (1 + (rx * rx + rz * rz) / INERTIA);
      d.v[1] += j;
      d.w[0] += -rz * j / INERTIA; d.w[2] += rx * j / INERTIA;
      var tl = Math.hypot(cvx, cvz);
      if (tl > 1e-4) {
        var jt = Math.min(FLOOR_FRICTION * j, tl * 0.5);
        var tx = -cvx / tl * jt, tz = -cvz / tl * jt;
        d.v[0] += tx; d.v[2] += tz;
        d.w[0] += ry * tz / INERTIA; d.w[1] += (rz * tx - rx * tz) / INERTIA; d.w[2] += -ry * tx / INERTIA;
      }
      if (cvy < -1.2) { d.bounces += 1; d.hit = -cvy; d.hx = d.p[0] + rx; d.hz = d.p[2] + rz; }
    }
    function wallStep(d: Die): void {
      if (d.p[0] < d.xmin) { d.p[0] = d.xmin; d.v[0] = Math.abs(d.v[0]) * 0.5; }
      if (d.p[0] > d.xmax) { d.p[0] = d.xmax; d.v[0] = -Math.abs(d.v[0]) * 0.5; }
      if (d.p[2] < d.zmin) { d.p[2] = d.zmin; d.v[2] = Math.abs(d.v[2]) * 0.5; }
      if (d.p[2] > d.zmax) { d.p[2] = d.zmax; d.v[2] = -Math.abs(d.v[2]) * 0.5; }
    }
    // 멈추기: 법선 y 가 가장 큰 면을 윗면으로 읽고, 그 면이 정확히 위를 보도록 남은 각도의 SETTLE_RATE 만큼씩 돌린다
    function settleStep(d: Die): void {
      var k = topIndex(d);
      d.top = FACE_VAL[k];
      var nw = matVec(d.R, FACE_N[k]);
      var ang = Math.acos(clamp(nw[1], -1, 1));
      if (ang > 1e-4) {
        var ax = unit(cross(nw, [0, 1, 0]));
        d.R = orthonormalize(matMul(rotAxis(ax, ang * SETTLE_RATE), d.R));
      }
      d.R = orthonormalize(matMul(rotAxis([0, 1, 0], d.w[1] * dtS), d.R));
      d.w[1] *= 0.88;
      d.v[0] *= 0.86; d.v[2] *= 0.86; d.v[1] = 0;
      d.p[0] += d.v[0] * dtS; d.p[2] += d.v[2] * dtS;
      d.p[1] += (DIE_HALF - d.p[1]) * 0.22;
      wallStep(d);
      if (ang < 0.004 && Math.abs(d.p[1] - DIE_HALF) < 0.01) {
        d.p[1] = DIE_HALF;
        var q = topIndex(d);
        d.R = orthonormalize(matMul(rotAxis(unit(cross(matVec(d.R, FACE_N[q]), [0, 1, 0])), Math.acos(clamp(matVec(d.R, FACE_N[q])[1], -1, 1))), d.R));
        d.phase = PH_HOLD; d.hold = 0; d.result = FACE_VAL[q]; d.top = d.result;
      }
    }
    function stepDie(d: Die): void {
      if (d.phase === PH_FLY) {
        d.t += FIXED_DT;
        d.v[1] -= GRAVITY * dtS;
        d.p[0] += d.v[0] * dtS; d.p[1] += d.v[1] * dtS; d.p[2] += d.v[2] * dtS;
        spinStep(d, dtS);
        d.w[0] *= SPIN_DAMPING; d.w[1] *= SPIN_DAMPING; d.w[2] *= SPIN_DAMPING;
        wallStep(d);
        floorStep(d);
        var sp = Math.hypot(d.v[0], d.v[1], d.v[2]);
        if (d.t > SETTLE_AFTER_MS || (d.bounces >= 3 && sp < 1.6)) d.phase = PH_SETTLE;
      } else if (d.phase === PH_SETTLE) {
        d.t += FIXED_DT;
        settleStep(d);
      } else if (d.phase === PH_HOLD) {
        d.hold += FIXED_DT;
      }
    }
    function runUntilHold(d: Die): number {
      for (var i = 0; i < 1200 && d.phase !== PH_HOLD; i += 1) stepDie(d);
      return d.result;
    }

    // ── 그리기 ──
    function rgb(c: number[], k: number): string {
      return 'rgb(' + Math.min(255, Math.round(c[0] * k)) + ',' + Math.min(255, Math.round(c[1] * k)) + ',' + Math.min(255, Math.round(c[2] * k)) + ')';
    }
    function quad(c: Vec, u: Vec, v: Vec, s: number): number[][] {
      var o: number[][] = [];
      var sg = [[-1, -1], [1, -1], [1, 1], [-1, 1]];
      for (var i = 0; i < 4; i += 1) {
        o.push(scr([c[0] + (u[0] * sg[i][0] + v[0] * sg[i][1]) * s * DIE_HALF, c[1] + (u[1] * sg[i][0] + v[1] * sg[i][1]) * s * DIE_HALF, c[2] + (u[2] * sg[i][0] + v[2] * sg[i][1]) * s * DIE_HALF]));
      }
      return o;
    }
    function fillPoly(pts: number[][], color: Paint, edge: number): void {
      ctx.beginPath();
      ctx.moveTo(pts[0][0], pts[0][1]);
      for (var i = 1; i < pts.length; i += 1) ctx.lineTo(pts[i][0], pts[i][1]);
      ctx.closePath();
      ctx.fillStyle = color;
      ctx.fill();
      if (edge > 0) { ctx.strokeStyle = color; ctx.lineWidth = edge; ctx.stroke(); }
    }
    function drawDie(d: Die, hi: number, alpha: number): void {
      var pal = DICE_PAL[d.pal % DICE_PAL.length];
      ctx.globalAlpha = alpha;
      ctx.lineJoin = 'round';
      for (var f = 0; f < 6; f += 1) {
        var nw = matVec(d.R, FACE_N[f]);
        var cw: Vec = [d.p[0] + nw[0] * DIE_HALF, d.p[1] + nw[1] * DIE_HALF, d.p[2] + nw[2] * DIE_HALF];
        var cc = camPoint(cw), nc = camDir(nw);
        if (nc[0] * cc[0] + nc[1] * cc[1] + nc[2] * cc[2] >= 0) continue;
        var uw = matVec(d.R, FACE_U[f]), vw = matVec(d.R, FACE_V[f]);
        var lit = 0.66 + 0.34 * Math.max(0, dot(nw, LIGHT));
        var k0 = scr(cw)[2];
        fillPoly(quad(cw, uw, vw, 1), rgb(pal.edge, lit), k0 * 0.1);
        fillPoly(quad(cw, uw, vw, 0.84), rgb(pal.face, lit), k0 * 0.16);
        if (f === hi) fillPoly(quad(cw, uw, vw, 0.84), 'rgba(255,255,255,0.4)', 0);
        var val = FACE_VAL[f];
        for (var pi = 0; pi < PIPS[val].length; pi += 1) {
          var a = PIPS[val][pi][0] * 0.5 * DIE_HALF, b = PIPS[val][pi][1] * 0.5 * DIE_HALF;
          var ring: number[][] = [];
          for (var j = 0; j < 10; j += 1) {
            var an = j * 0.62832, rr = 0.17 * DIE_HALF;
            var ca = Math.cos(an) * rr, sa = Math.sin(an) * rr;
            ring.push(scr([cw[0] + uw[0] * (a + ca) + vw[0] * (b + sa) + nw[0] * 0.004, cw[1] + uw[1] * (a + ca) + vw[1] * (b + sa) + nw[1] * 0.004, cw[2] + uw[2] * (a + ca) + vw[2] * (b + sa) + nw[2] * 0.004]));
          }
          fillPoly(ring, pal.pip, 0);
        }
      }
      ctx.globalAlpha = 1;
    }
    function drawShadow(d: Die, alpha: number): void {
      var s = scr([d.p[0], 0, d.p[2]]);
      var h = Math.max(0, d.p[1] - DIE_HALF);
      var r = DIE_HALF * s[2] * (1.2 + h * 0.18);
      ctx.save();
      ctx.translate(s[0], s[1]);
      ctx.scale(1, 0.42);
      ctx.beginPath();
      ctx.arc(0, 0, r, 0, 6.2832);
      ctx.fillStyle = 'rgba(30,60,60,' + (0.34 * alpha / (1 + h * 0.7)) + ')';
      ctx.fill();
      ctx.restore();
    }
    var FELT_DOTS: number[][] = [];
    (function (): void {
      var fr = seedRand(99);
      for (var i = 0; i < 70; i += 1) FELT_DOTS.push([(fr() * 2 - 1) * TABLE_X, TABLE_Z0 + fr() * (TABLE_Z1 - TABLE_Z0), 0.04 + fr() * 0.08]);
    })();
    function tablePts(m: number): number[][] {
      return [scr([-TABLE_X - m, 0, TABLE_Z0 - m]), scr([TABLE_X + m, 0, TABLE_Z0 - m]), scr([TABLE_X + m, 0, TABLE_Z1 + m]), scr([-TABLE_X - m, 0, TABLE_Z1 + m])];
    }
    function drawStage(lightX: number, lightK: number): void {
      ctx.setTransform(1, 0, 0, 1, 0, 0);
      ctx.fillStyle = '#1d1a2b';
      ctx.fillRect(0, 0, cw, ch);
      ctx.setTransform(sc, 0, 0, sc, 0, 0);
      var bg = ctx.createRadialGradient(160, 80, 10, 160, 80, 210);
      bg.addColorStop(0, '#3f3764');
      bg.addColorStop(1, '#221d36');
      ctx.fillStyle = bg;
      ctx.fillRect(0, 0, CALC_W, CALC_H);
      fillPoly(tablePts(0.5), '#8e80c8', 0);
      var tp = tablePts(0);
      var g = ctx.createLinearGradient(0, tp[0][1], 0, tp[2][1]);
      g.addColorStop(0, '#9fdcc3');
      g.addColorStop(1, '#78c8aa');
      fillPoly(tp, g, 0);
      for (var i = 0; i < FELT_DOTS.length; i += 1) {
        var s = scr([FELT_DOTS[i][0], 0, FELT_DOTS[i][1]]);
        ctx.beginPath();
        ctx.arc(s[0], s[1], FELT_DOTS[i][2] * s[2], 0, 6.2832);
        ctx.fillStyle = 'rgba(40,110,90,0.12)';
        ctx.fill();
      }
      var lp = scr([lightX, 0, 1]);
      var lg = ctx.createRadialGradient(lp[0], lp[1], 4, lp[0], lp[1], 120);
      lg.addColorStop(0, 'rgba(255,255,255,' + (0.3 * lightK) + ')');
      lg.addColorStop(1, 'rgba(255,255,255,0)');
      ctx.save();
      ctx.beginPath();
      ctx.moveTo(tp[0][0], tp[0][1]); ctx.lineTo(tp[1][0], tp[1][1]); ctx.lineTo(tp[2][0], tp[2][1]); ctx.lineTo(tp[3][0], tp[3][1]);
      ctx.closePath();
      ctx.clip();
      ctx.fillStyle = lg;
      ctx.fillRect(0, 0, CALC_W, CALC_H);
      ctx.restore();
    }
    function drawChip(x: number, y: number, s: number, value: number, pal: number, mark: boolean): void {
      var p = DICE_PAL[pal % DICE_PAL.length];
      ctx.fillStyle = value > 0 ? rgb(p.face, 1) : 'rgba(255,255,255,0.18)';
      ctx.strokeStyle = mark ? '#7fe3bd' : rgb(p.edge, 1);
      ctx.lineWidth = mark ? 1.8 : 1;
      ctx.fillRect(x, y, s, s);
      ctx.strokeRect(x, y, s, s);
      for (var i = 0; i < PIPS[value].length; i += 1) {
        ctx.beginPath();
        ctx.arc(x + s / 2 + PIPS[value][i][0] * s * 0.26, y + s / 2 + PIPS[value][i][1] * s * 0.26, s * 0.1, 0, 6.2832);
        ctx.fillStyle = p.pip;
        ctx.fill();
      }
    }

    // ── 상태 줄 (aria-live) ──
    var stLabel = '', stNum = '', stAt = -9999;
    function setStatus(label: string, num: string, force: boolean): void {
      if (label === stLabel && num === stNum) return;
      if (!force && label === stLabel && elapsed - stAt < 450) return;
      stLabel = label; stNum = num; stAt = elapsed;
      labelEl.textContent = label;
      numEl.textContent = num;
    }
    var cw = 480, ch = 300, sc = 1.5, elapsed = 0;
    var rafId = 0;
    var cleaners: Fn[] = [];

    // 기법: 여덟 꼭짓점에 회전 행렬 R 을 곱하고 원근 투영(sx = cx + f * x / z)으로 화면에 옮긴다.
    // 보이는 면은 법선과 시선의 내적 부호로 고르고, 윗면은 법선 y 가 가장 큰 면이다.
    var T_TOP = '윗면';
    var SPIN_BASE = 7;
    var DEMO_KICK_MS = 1500;
    var die: Die = newDie(0, -9, 9, -9, 9);
    var rng: RandFn = seedRand(DICE_SEED);
    var kickAt = 0;
    var axisCols: string[] = ['#ff9ebb', '#4cd4a6', '#6ec8ff'];

    function sceneInit(): void { die.phase = PH_FLY; die.p = [0, 1.7, 0.4]; die.R = rotAxis(unit([0.4, 1, 0.3]), 0.7); }
    function sceneRoll(manual: boolean): void {
      var ax = randAxis(rng);
      var s = SPIN_BASE + rng() * 5;
      die.w = [ax[0] * s, ax[1] * s, ax[2] * s];
      kickAt = elapsed;
      if (reduce) die.R = matMul(rotAxis(ax, 1.2 + rng() * 4.4), die.R);
    }
    function sceneDone(): boolean { return true; }
    function sceneFinish(): void { die.top = FACE_VAL[topIndex(die)]; setStatus(T_TOP, String(die.top), true); }
    function stepWorld(): void {
      var t = elapsed / 1000;
      die.p = [Math.sin(t * 0.9) * 2.8, 1.7 + Math.sin(t * 1.7) * 0.3, Math.cos(t * 0.9) * 1.3 + 0.4];
      spinStep(die, dtS);
      var damp = demo ? 0.996 : 0.985;
      die.w = [die.w[0] * damp, die.w[1] * damp, die.w[2] * damp];
      if (demo && elapsed - kickAt > DEMO_KICK_MS) sceneRoll(false);
      die.top = FACE_VAL[topIndex(die)];
      setStatus(T_TOP, String(die.top), false);
    }
    function drawWorld(): void {
      drawStage(die.p[0], 0.9);
      // 바닥 안내선: 주사위 중심에서 바닥 그림자까지
      var a = scr(die.p), b = scr([die.p[0], 0, die.p[2]]);
      ctx.setLineDash([2, 3]);
      ctx.strokeStyle = 'rgba(255,255,255,0.5)';
      ctx.lineWidth = 1;
      ctx.beginPath(); ctx.moveTo(a[0], a[1]); ctx.lineTo(b[0], b[1]); ctx.stroke();
      ctx.setLineDash([]);
      drawShadow(die, 1);
      drawDie(die, topIndex(die), 1);
      // 회전 행렬의 세 열 = 주사위가 가진 세 축을 투영한 선
      for (var c = 0; c < 3; c += 1) {
        var e: Vec = [die.R[c], die.R[3 + c], die.R[6 + c]];
        var q = scr([die.p[0] + e[0] * 2.1, die.p[1] + e[1] * 2.1, die.p[2] + e[2] * 2.1]);
        ctx.beginPath(); ctx.moveTo(a[0], a[1]); ctx.lineTo(q[0], q[1]);
        ctx.strokeStyle = axisCols[c]; ctx.lineWidth = 2; ctx.lineCap = 'round'; ctx.stroke();
        ctx.beginPath(); ctx.arc(q[0], q[1], 2.6, 0, 6.2832); ctx.fillStyle = axisCols[c]; ctx.fill();
      }
      // 여덟 꼭짓점 점 (가까울수록 크게)
      for (var i = 0; i < 8; i += 1) {
        var lx = (i & 1) ? 1 : -1, ly = (i & 2) ? 1 : -1, lz = (i & 4) ? 1 : -1;
        var v = matVec(die.R, [lx, ly, lz]);
        var s = scr([die.p[0] + v[0], die.p[1] + v[1], die.p[2] + v[2]]);
        ctx.beginPath(); ctx.arc(s[0], s[1], s[2] * 0.045, 0, 6.2832); ctx.fillStyle = 'rgba(255,255,255,0.85)'; ctx.fill();
      }
    }

    function fit(): void {
      var r = wrap.getBoundingClientRect();
      cw = Math.max(1, Math.round(r.width));
      ch = Math.max(1, Math.round(r.height));
      canvas.width = cw; canvas.height = ch;
      sc = cw / CALC_W;
      drawWorld();
    }
    var lastTs = -1;
    var acc = 0;
    function tick(ts: number): void {
      if (lastTs < 0) lastTs = ts;
      var frameDt = Math.min(ts - lastTs, 48);
      lastTs = ts;
      acc += frameDt;
      while (acc >= FIXED_DT) { elapsed += FIXED_DT; stepWorld(); acc -= FIXED_DT; }
      drawWorld();
      rafId = requestAnimationFrame(tick);
    }
    // 모션 줄이기: 애니메이션 없이 결과가 나올 때까지 같은 계산을 한 번에 돌려 최종 장면만 그린다
    function runToDone(): void {
      var i = 0;
      do { elapsed += FIXED_DT; stepWorld(); i += 1; } while (i < 1500 && !sceneDone());
      sceneFinish();
      drawWorld();
    }
    function onRollClick(): void {
      stopDemo();
      sceneRoll(true);
      if (reduce) runToDone();
    }
    sceneInit();
    sceneRoll(false);
    if (reduce) {
      runToDone();
    } else {
      for (var w0 = 0; w0 < 8; w0 += 1) { elapsed += FIXED_DT; stepWorld(); }
    }
    btn.addEventListener('click', onRollClick);
    cleaners.push(function (): void { btn.removeEventListener('click', onRollClick); });
    fit();
    window.addEventListener('resize', fit);
    cleaners.push(function (): void { window.removeEventListener('resize', fit); });
    if (!reduce) rafId = requestAnimationFrame(tick);

    function destroy(): void {
      cancelAnimationFrame(rafId);
      for (var i = 0; i < cleaners.length; i += 1) cleaners[i]();
    }


    return destroy;
  }, []);

  return (
    <main className={styles.stage}>
      <div className={`${styles.bp} is-demo`} ref={rootRef}>
        <canvas className={styles.bp__canvas} ref={canvasRef} width={480} height={300} role="img" aria-label="정육면체 여덟 꼭짓점에 회전 행렬을 곱하고 원근 투영으로 화면에 옮긴 뒤, 법선과 시선의 내적으로 카메라를 등진 면을 걸러 눈 달린 주사위가 허공에서 도는 장면을 그린다." />
        <output className={styles.bp__status} aria-live="polite"><span ref={labelRef}>윗면</span> <b ref={numRef} /></output>
        <button type="button" className={styles.bp__btn} ref={btnRef}>굴리기</button>
        <p className={styles.bp__caption}>정육면체 여덟 꼭짓점에 회전 행렬을 곱하고 원근 투영으로 화면에 옮긴 뒤, 법선과 시선의 내적으로 카메라를 등진 면을 걸러 눈 달린 주사위가 허공에서 도는 장면을 그린다.</p>
      </div>
    </main>
  );
}